Question

XYZ was reflected over a vertical line, then dilated by a scale factor of 1/2 , resulting X’Y’X’. Which must be true of the two triangles? Select 3 options

Answer 1

Answer:

pick the first one and the middle and one after that

Step-by-step explanation:

i have the same thing and i got it right

Answer 2

Reflection and dilation are instances of transforming a triangle.

The true options are:

• $\triangle XYZ \sim \triangle X'Y'Z'$.
• $\angle XZY \cong \angle Y'Z'X'$.
• $XZ = 2X'Z'$

First, triangle XYZ is reflected over a vertical line.

Then dilated by 1/2 to form X'Y'Z'

The above highlights mean that:

$X'Y'Z' = \frac 12 \times XYZ$

i.e. the side lengths of triangle X'Y'Z' is half the side lengths of the original triangle XYZ

This means that:

• The triangles are similar: option (a) is true
• The angles are congruent: option (b) is true
• The side lengths of XYZ are twice the side lengths of X'YZ': option (d) is true

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